##############ECHO OF PROBLEM################# ##############temp/sing4postode.ode################# diff ( y , x , 1 ) = m1 * 2.0 * x / ( x * x + 1.0 ) / ( x * x + 1.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=20 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=-2.0 x_end=1.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=50 # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_max_h=0.5 $glob_type_given_pole=2 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=0.0 # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=1.0 # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=1.0 # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=0.0 # ELIMINATED in preodein.rb #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=1000000000 $glob_max_minutes=10.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(1.0 / (x * x + 1.0)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-10 range 3.0 estimated_steps 3000000.0 step_error 3.3333333333333335e-17 est_needed_step_err 3.3333333333333335e-17 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.1444173827950832e-102 estimated_step_error 1.1444173827950832e-102 best_h 2.0e-06 opt_iter 2 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 7.500055238870521e-98 estimated_step_error 7.500055238870521e-98 best_h 4.0e-06 opt_iter 3 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.915238139881815e-93 estimated_step_error 4.915238139881815e-93 best_h 8.0e-06 opt_iter 4 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.2212530082326007e-88 estimated_step_error 3.2212530082326007e-88 best_h 1.6e-05 opt_iter 5 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.1110837018629505e-83 estimated_step_error 2.1110837018629505e-83 best_h 3.2e-05 opt_iter 6 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.383524180073924e-78 estimated_step_error 1.383524180073924e-78 best_h 6.4e-05 opt_iter 7 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 9.067121282759626e-74 estimated_step_error 9.067121282759626e-74 best_h 0.000128 opt_iter 8 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.942303599376937e-69 estimated_step_error 5.942303599376937e-69 best_h 0.000256 opt_iter 9 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.894446387763279e-64 estimated_step_error 3.894446387763279e-64 best_h 0.000512 opt_iter 10 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.552393236853812e-59 estimated_step_error 2.552393236853812e-59 best_h 0.001024 opt_iter 11 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.6729053398146982e-54 estimated_step_error 1.6729053398146982e-54 best_h 0.002048 opt_iter 12 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.096576684538303e-49 estimated_step_error 1.096576684538303e-49 best_h 0.004096 opt_iter 13 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 7.189428737484034e-45 estimated_step_error 7.189428737484034e-45 best_h 0.008192 opt_iter 14 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.715473481223612e-40 estimated_step_error 4.715473481223612e-40 best_h 0.016384 opt_iter 15 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.095334825281108e-35 estimated_step_error 3.095334825281108e-35 best_h 0.032768 opt_iter 16 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.0351386069173407e-30 estimated_step_error 2.0351386069173407e-30 best_h 0.065536 opt_iter 17 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.342434992844345e-25 estimated_step_error 1.342434992844345e-25 best_h 0.131072 opt_iter 18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 8.913275833425114e-21 estimated_step_error 8.913275833425114e-21 best_h 0.262144 opt_iter 19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.997133941682e-16 estimated_step_error 5.997133941682e-16 best_h 0.131072 START of Soultion TOP MAIN SOLVE Loop x[1] -2.0 y[1] (analytic) 0.2 y[1] (numeric) 0.2 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.23606797749979 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2360679774997783 Order of pole (six term test) 0.9999999999999858 TOP MAIN SOLVE Loop x[1] -1.99 y[1] (analytic) 0.2016088385314812 y[1] (numeric) 0.20160883853148123 absolute error 2.7755575615628914e-17 relative error 1.3767043061108099e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.2271281956816047 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2271281956815874 Order of pole (six term test) 0.9999999999999645 TOP MAIN SOLVE Loop x[1] -1.98 y[1] (analytic) 0.20323550930818632 y[1] (numeric) 0.20323550930818635 absolute error 2.7755575615628914e-17 relative error 1.3656853425914051e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.2181974664127626 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.218197466412789 Order of pole (six term test) 1.0000000000000666 TOP MAIN SOLVE Loop x[1] -1.97 y[1] (analytic) 0.20488024749533895 y[1] (numeric) 0.204880247495339 absolute error 5.551115123125783e-17 relative error 2.7094437804464635e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.2092758994747577 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2092758994747492 Order of pole (six term test) 0.9999999999999822 TOP MAIN SOLVE Loop x[1] -1.96 y[1] (analytic) 0.20654329147389294 y[1] (numeric) 0.20654329147389297 absolute error 2.7755575615628914e-17 relative error 1.3438139490062894e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.2003636063160106 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.200363606315991 Order of pole (six term test) 0.9999999999999742 TOP MAIN SOLVE Loop x[1] -1.95 y[1] (analytic) 0.20822488287350338 y[1] (numeric) 0.20822488287350344 absolute error 5.551115123125783e-17 relative error 2.665923037881157e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.191460700081113 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1914607000811097 Order of pole (six term test) 1.000000000000015 TOP MAIN SOLVE Loop x[1] -1.94 y[1] (analytic) 0.2099252666050886 y[1] (numeric) 0.20992526660508865 absolute error 5.551115123125783e-17 relative error 2.644329200052198e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.182567295640618 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.182567295640594 Order of pole (six term test) 0.99999999999996 TOP MAIN SOLVE Loop x[1] -1.93 y[1] (analytic) 0.21164469089292895 y[1] (numeric) 0.211644690892929 absolute error 5.551115123125783e-17 relative error 2.622846384525701e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1736835096213984 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1736835096213896 Order of pole (six term test) 1.0000000000000346 TOP MAIN SOLVE Loop x[1] -1.92 y[1] (analytic) 0.21338340730624786 y[1] (numeric) 0.2133834073062479 absolute error 5.551115123125783e-17 relative error 2.601474591301667e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1648094604375694 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1648094604375614 Order of pole (six term test) 0.9999999999999973 TOP MAIN SOLVE Loop x[1] -1.91 y[1] (analytic) 0.21514167079021537 y[1] (numeric) 0.2151416707902154 absolute error 2.7755575615628914e-17 relative error 1.2901069101900474e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1559452683219953 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.155945268321992 Order of pole (six term test) 1.0000000000000027 TOP MAIN SOLVE Loop x[1] -1.9 y[1] (analytic) 0.2169197396963124 y[1] (numeric) 0.2169197396963124 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1470910553583886 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.147091055358396 Order of pole (six term test) 0.9999999999999964 TOP MAIN SOLVE Loop x[1] -1.89 y[1] (analytic) 0.21871787581199012 y[1] (numeric) 0.21871787581199015 absolute error 2.7755575615628914e-17 relative error 1.2690126727221695e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1382469455140116 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.138246945514013 Order of pole (six term test) 0.9999999999999938 TOP MAIN SOLVE Loop x[1] -1.88 y[1] (analytic) 0.2205363443895554 y[1] (numeric) 0.22053634438955544 absolute error 2.7755575615628914e-17 relative error 1.2585488207150774e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1294130646729865 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1294130646729803 Order of pole (six term test) 1.0000000000000435 TOP MAIN SOLVE Loop x[1] -1.8699999999999999 y[1] (analytic) 0.2223754141742089 y[1] (numeric) 0.22237541417420895 absolute error 5.551115123125783e-17 relative error 2.4962809597184332e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1205895406702355 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.12058954067023 Order of pole (six term test) 1.0000000000000107 TOP MAIN SOLVE Loop x[1] -1.8599999999999999 y[1] (analytic) 0.22423535743115974 y[1] (numeric) 0.2242353574311598 absolute error 5.551115123125783e-17 relative error 2.475575300309174e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1117765033260505 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1117765033260434 Order of pole (six term test) 1.0000000000000675 TOP MAIN SOLVE Loop x[1] -1.8499999999999999 y[1] (analytic) 0.22611644997173547 y[1] (numeric) 0.2261164499717355 absolute error 2.7755575615628914e-17 relative error 1.2274903316011885e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1029740844813087 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1029740844813047 Order of pole (six term test) 1.0000000000000293 TOP MAIN SOLVE Loop x[1] -1.8399999999999999 y[1] (analytic) 0.22801897117840209 y[1] (numeric) 0.22801897117840209 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.094182418033348 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.094182418033348 Order of pole (six term test) 1.0000000000000435 TOP MAIN SOLVE Loop x[1] -1.8299999999999998 y[1] (analytic) 0.22994320402860496 y[1] (numeric) 0.22994320402860496 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.0854016399725017 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0854016399725004 Order of pole (six term test) 0.9999999999999867 TOP MAIN SOLVE Loop x[1] -1.8199999999999998 y[1] (analytic) 0.2318894351173361 y[1] (numeric) 0.2318894351173361 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.076631888419322 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0766318884193193 Order of pole (six term test) 1.0000000000000089 TOP MAIN SOLVE Loop x[1] -1.8099999999999998 y[1] (analytic) 0.2338579546783284 y[1] (numeric) 0.23385795467832843 absolute error 2.7755575615628914e-17 relative error 1.1868561688999079e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.067873303662485 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0678733036624872 Order of pole (six term test) 1.0000000000000355 TOP MAIN SOLVE Loop x[1] -1.7999999999999998 y[1] (analytic) 0.23584905660377362 y[1] (numeric) 0.23584905660377364 absolute error 2.7755575615628914e-17 relative error 1.1768364061026658e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.0591260281974 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0591260281974 Order of pole (six term test) 1.000000000000008 TOP MAIN SOLVE Loop x[1] -1.7899999999999998 y[1] (analytic) 0.23786303846245335 y[1] (numeric) 0.23786303846245338 absolute error 2.7755575615628914e-17 relative error 1.166872154456655e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.0503902067655315 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0503902067655404 Order of pole (six term test) 1.000000000000087 TOP MAIN SOLVE Loop x[1] -1.7799999999999998 y[1] (analytic) 0.2399002015161693 y[1] (numeric) 0.23990020151616934 absolute error 2.7755575615628914e-17 relative error 1.1569634139618754e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.0416659863944444 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0416659863944524 Order of pole (six term test) 1.0000000000000542 TOP MAIN SOLVE Loop x[1] -1.7699999999999998 y[1] (analytic) 0.24196085073435122 y[1] (numeric) 0.24196085073435125 absolute error 2.7755575615628914e-17 relative error 1.1471101846183271e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.032953516438583 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0329535164385772 Order of pole (six term test) 0.9999999999999538 TOP MAIN SOLVE Loop x[1] -1.7599999999999998 y[1] (analytic) 0.24404529480671613 y[1] (numeric) 0.2440452948067162 absolute error 5.551115123125783e-17 relative error 2.2746249328520207e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.0242529486207994 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0242529486208127 Order of pole (six term test) 1.000000000000104 TOP MAIN SOLVE Loop x[1] -1.7499999999999998 y[1] (analytic) 0.2461538461538462 y[1] (numeric) 0.24615384615384622 absolute error 2.7755575615628914e-17 relative error 1.1275702593849245e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.0155644370746373 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0155644370746337 Order of pole (six term test) 0.9999999999999707 TOP MAIN SOLVE Loop x[1] -1.7399999999999998 y[1] (analytic) 0.24828682093554477 y[1] (numeric) 0.2482868209355448 absolute error 2.7755575615628914e-17 relative error 1.11788356349507e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.006888138387389 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0068881383874118 Order of pole (six term test) 1.000000000000166 TOP MAIN SOLVE Loop x[1] -1.7299999999999998 y[1] (analytic) 0.2504445390568259 y[1] (numeric) 0.2504445390568259 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9982242116439284 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9982242116439286 Order of pole (six term test) 1.0000000000000178 TOP MAIN SOLVE Loop x[1] -1.7199999999999998 y[1] (analytic) 0.25262732417138245 y[1] (numeric) 0.2526273241713824 absolute error 5.551115123125783e-17 relative error 2.197353410338109e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.989572818471342 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.989572818471359 Order of pole (six term test) 1.0000000000001243 TOP MAIN SOLVE Loop x[1] -1.7099999999999997 y[1] (analytic) 0.25483550368237307 y[1] (numeric) 0.25483550368237307 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9809341230843591 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9809341230843598 Order of pole (six term test) 1.0000000000000098 TOP MAIN SOLVE Loop x[1] -1.6999999999999997 y[1] (analytic) 0.25706940874035994 y[1] (numeric) 0.25706940874035994 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9723082923316018 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.972308292331614 Order of pole (six term test) 1.0000000000000933 TOP MAIN SOLVE Loop x[1] -1.6899999999999997 y[1] (analytic) 0.25932937423822 y[1] (numeric) 0.25932937423822 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.963695495742657 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9636954957426513 Order of pole (six term test) 0.9999999999999636 TOP MAIN SOLVE Loop x[1] -1.6799999999999997 y[1] (analytic) 0.26161573880284644 y[1] (numeric) 0.26161573880284644 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9550959055759898 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.955095905576002 Order of pole (six term test) 1.000000000000087 TOP MAIN SOLVE Loop x[1] -1.6699999999999997 y[1] (analytic) 0.26392884478344647 y[1] (numeric) 0.26392884478344647 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9465096968677036 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9465096968677238 Order of pole (six term test) 1.0000000000001403 TOP MAIN SOLVE Loop x[1] -1.6599999999999997 y[1] (analytic) 0.266269038236234 y[1] (numeric) 0.266269038236234 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9379370474811608 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9379370474811815 Order of pole (six term test) 1.0000000000001297 TOP MAIN SOLVE Loop x[1] -1.6499999999999997 y[1] (analytic) 0.2686366689053057 y[1] (numeric) 0.2686366689053057 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9293781381574735 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9293781381574724 Order of pole (six term test) 0.9999999999999929 TOP MAIN SOLVE Loop x[1] -1.6399999999999997 y[1] (analytic) 0.27103209019947966 y[1] (numeric) 0.2710320901994797 absolute error 5.551115123125783e-17 relative error 2.0481394358284884e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.920833152566875 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9208331525668723 Order of pole (six term test) 0.9999999999999822 TOP MAIN SOLVE Loop x[1] -1.6299999999999997 y[1] (analytic) 0.27345565916486647 y[1] (numeric) 0.2734556591648665 absolute error 5.551115123125783e-17 relative error 2.029987289375867e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9123022773609821 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9123022773609932 Order of pole (six term test) 1.0000000000000693 TOP MAIN SOLVE Loop x[1] -1.6199999999999997 y[1] (analytic) 0.27590773645293026 y[1] (numeric) 0.27590773645293026 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9037857022259619 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9037857022259845 Order of pole (six term test) 1.0000000000001394 TOP MAIN SOLVE Loop x[1] -1.6099999999999997 y[1] (analytic) 0.2783886862837895 y[1] (numeric) 0.27838868628378954 absolute error 5.551115123125783e-17 relative error 1.994016063378012e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8952836199366043 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8952836199366194 Order of pole (six term test) 1.0000000000000933 TOP MAIN SOLVE Loop x[1] -1.5999999999999996 y[1] (analytic) 0.28089887640449446 y[1] (numeric) 0.2808988764044945 absolute error 5.551115123125783e-17 relative error 1.976196983832778e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8867962264113205 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.886796226411327 Order of pole (six term test) 1.00000000000004 TOP MAIN SOLVE Loop x[1] -1.5899999999999996 y[1] (analytic) 0.2834386780420057 y[1] (numeric) 0.28343867804200573 absolute error 5.551115123125783e-17 relative error 1.958488926590007e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8783237207680679 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8783237207680856 Order of pole (six term test) 1.0000000000001075 TOP MAIN SOLVE Loop x[1] -1.5799999999999996 y[1] (analytic) 0.2860084658505893 y[1] (numeric) 0.2860084658505893 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.869866305381216 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8698663053812323 Order of pole (six term test) 1.0000000000000995 TOP MAIN SOLVE Loop x[1] -1.5699999999999996 y[1] (analytic) 0.2886086178533292 y[1] (numeric) 0.28860861785332925 absolute error 5.551115123125783e-17 relative error 1.923405879011852e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8614241859393572 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8614241859393774 Order of pole (six term test) 1.0000000000001243 TOP MAIN SOLVE Loop x[1] -1.5599999999999996 y[1] (analytic) 0.2912395153774465 y[1] (numeric) 0.2912395153774466 absolute error 5.551115123125783e-17 relative error 1.906030888676468e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8529975715040747 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8529975715040812 Order of pole (six term test) 1.0000000000000355 TOP MAIN SOLVE Loop x[1] -1.5499999999999996 y[1] (analytic) 0.2939015429831007 y[1] (numeric) 0.29390154298310084 absolute error 1.1102230246251565e-16 relative error 3.7775338412870945e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8445866745696715 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8445866745696935 Order of pole (six term test) 1.0000000000001315 TOP MAIN SOLVE Loop x[1] -1.5399999999999996 y[1] (analytic) 0.29659508838533644 y[1] (numeric) 0.2965950883853365 absolute error 5.551115123125783e-17 relative error 1.8716139749130884e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8361917111238681 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8361917111238806 Order of pole (six term test) 1.0000000000000728 TOP MAIN SOLVE Loop x[1] -1.5299999999999996 y[1] (analytic) 0.2993205423688229 y[1] (numeric) 0.29932054236882294 absolute error 5.551115123125783e-17 relative error 1.854572051485092e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8278129007094788 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.82781290070948 Order of pole (six term test) 1.0000000000000098 TOP MAIN SOLVE Loop x[1] -1.5199999999999996 y[1] (analytic) 0.3020782986950219 y[1] (numeric) 0.3020782986950219 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.819450466487065 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8194504664870592 Order of pole (six term test) 0.9999999999999645 TOP MAIN SOLVE Loop x[1] -1.5099999999999996 y[1] (analytic) 0.3048687540014025 y[1] (numeric) 0.30486875400140256 absolute error 5.551115123125783e-17 relative error 1.8208212715364873e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.811104635298579 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8111046352985805 Order of pole (six term test) 1.000000000000007 TOP MAIN SOLVE Loop x[1] -1.4999999999999996 y[1] (analytic) 0.3076923076923078 y[1] (numeric) 0.3076923076923079 absolute error 5.551115123125783e-17 relative error 1.8041124150158787e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8027756377319943 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8027756377319892 Order of pole (six term test) 0.9999999999999707 TOP MAIN SOLVE Loop x[1] -1.4899999999999995 y[1] (analytic) 0.3105493618210616 y[1] (numeric) 0.31054936182106163 absolute error 5.551115123125783e-17 relative error 1.7875145807977326e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.794463708186933 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7944637081869506 Order of pole (six term test) 1.0000000000001013 TOP MAIN SOLVE Loop x[1] -1.4799999999999995 y[1] (analytic) 0.3134403209628888 y[1] (numeric) 0.3134403209628888 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7861690849412881 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7861690849412966 Order of pole (six term test) 1.000000000000047 TOP MAIN SOLVE Loop x[1] -1.4699999999999995 y[1] (analytic) 0.31636559207820575 y[1] (numeric) 0.31636559207820575 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.777892010218843 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7778920102188505 Order of pole (six term test) 1.0000000000000444 TOP MAIN SOLVE Loop x[1] -1.4599999999999995 y[1] (analytic) 0.31932558436581954 y[1] (numeric) 0.3193255843658196 absolute error 5.551115123125783e-17 relative error 1.7383872119580693e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7696327302578911 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7696327302579102 Order of pole (six term test) 1.0000000000001101 TOP MAIN SOLVE Loop x[1] -1.4499999999999995 y[1] (analytic) 0.32232070910556015 y[1] (numeric) 0.3223207091055602 absolute error 5.551115123125783e-17 relative error 1.7222334669497735e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7613914953808534 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.761391495380844 Order of pole (six term test) 0.9999999999999458 TOP MAIN SOLVE Loop x[1] -1.4399999999999995 y[1] (analytic) 0.3253513794898492 y[1] (numeric) 0.3253513794898492 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7531685600648896 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7531685600648854 Order of pole (six term test) 0.9999999999999725 TOP MAIN SOLVE Loop x[1] -1.4299999999999995 y[1] (analytic) 0.3284180104436929 y[1] (numeric) 0.3284180104436929 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7449641830135076 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7449641830135385 Order of pole (six term test) 1.000000000000183 TOP MAIN SOLVE Loop x[1] -1.4199999999999995 y[1] (analytic) 0.33152101843256876 y[1] (numeric) 0.3315210184325688 absolute error 5.551115123125783e-17 relative error 1.6744383657396604e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.736778627229158 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7367786272291847 Order of pole (six term test) 1.0000000000001554 TOP MAIN SOLVE Loop x[1] -1.4099999999999995 y[1] (analytic) 0.33466082125765556 y[1] (numeric) 0.33466082125765556 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7286121600868132 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.728612160086777 Order of pole (six term test) 0.9999999999997868 TOP MAIN SOLVE Loop x[1] -1.3999999999999995 y[1] (analytic) 0.33783783783783805 y[1] (numeric) 0.33783783783783805 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7204650534085248 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.720465053408545 Order of pole (six term test) 1.000000000000119 TOP MAIN SOLVE Loop x[1] -1.3899999999999995 y[1] (analytic) 0.3410524879779 y[1] (numeric) 0.3410524879779 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7123375835389465 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.712337583538926 Order of pole (six term test) 0.9999999999998792 TOP MAIN SOLVE Loop x[1] -1.3799999999999994 y[1] (analytic) 0.3443051921222974 y[1] (numeric) 0.34430519212229743 absolute error 5.551115123125783e-17 relative error 1.6122658763606514e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7042300314218144 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7042300314215784 Order of pole (six term test) 0.9999999999986127 TOP MAIN SOLVE Loop x[1] -1.3699999999999994 y[1] (analytic) 0.34759637109388597 y[1] (numeric) 0.347596371093886 absolute error 5.551115123125783e-17 relative error 1.5970003097720555e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6961426826773738 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.696142682677357 Order of pole (six term test) 0.9999999999999005 TOP MAIN SOLVE Loop x[1] -1.3599999999999994 y[1] (analytic) 0.350926445816957 y[1] (numeric) 0.35092644581695703 absolute error 5.551115123125783e-17 relative error 1.581845765485922e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.688075827680735 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.688075827680818 Order of pole (six term test) 1.0000000000004858 TOP MAIN SOLVE Loop x[1] -1.3499999999999994 y[1] (analytic) 0.35429583702391515 y[1] (numeric) 0.35429583702391526 absolute error 1.1102230246251565e-16 relative error 3.1336044870045024e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6800297616411437 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6800297616411402 Order of pole (six term test) 0.9999999999999787 TOP MAIN SOLVE Loop x[1] -1.3399999999999994 y[1] (analytic) 0.3577049649449136 y[1] (numeric) 0.3577049649449137 absolute error 1.1102230246251565e-16 relative error 3.1037394876420864e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6720047846821486 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6720047846821684 Order of pole (six term test) 1.0000000000001155 TOP MAIN SOLVE Loop x[1] -1.3299999999999994 y[1] (analytic) 0.3611542489797394 y[1] (numeric) 0.3611542489797395 absolute error 1.1102230246251565e-16 relative error 3.0740965328845945e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6640012019226424 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6640012019226453 Order of pole (six term test) 1.0000000000000178 TOP MAIN SOLVE Loop x[1] -1.3199999999999994 y[1] (analytic) 0.36464410735122543 y[1] (numeric) 0.3646441073512255 absolute error 5.551115123125783e-17 relative error 1.5223378113660138e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6560193235587555 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6560193235587657 Order of pole (six term test) 1.0000000000000586 TOP MAIN SOLVE Loop x[1] -1.3099999999999994 y[1] (analytic) 0.36817495673944284 y[1] (numeric) 0.3681749567394429 absolute error 5.551115123125783e-17 relative error 1.5077383785921927e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6480594649465772 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6480594649466014 Order of pole (six term test) 1.0000000000001403 TOP MAIN SOLVE Loop x[1] -1.2999999999999994 y[1] (analytic) 0.371747211895911 y[1] (numeric) 0.3717472118959111 absolute error 1.1102230246251565e-16 relative error 2.986499936241669e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.640121946685672 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6401219466856654 Order of pole (six term test) 0.9999999999999618 TOP MAIN SOLVE Loop x[1] -1.2899999999999994 y[1] (analytic) 0.3753612852370409 y[1] (numeric) 0.375361285237041 absolute error 1.1102230246251565e-16 relative error 2.957745159903878e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6322070947033647 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6322070947033556 Order of pole (six term test) 0.9999999999999467 TOP MAIN SOLVE Loop x[1] -1.2799999999999994 y[1] (analytic) 0.37901758641600997 y[1] (numeric) 0.37901758641601 absolute error 5.551115123125783e-17 relative error 1.4646062140855054e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6243152403397556 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.624315240339743 Order of pole (six term test) 0.9999999999999254 TOP MAIN SOLVE Loop x[1] -1.2699999999999994 y[1] (analytic) 0.38271652187224947 y[1] (numeric) 0.3827165218722495 absolute error 5.551115123125783e-17 relative error 1.450450870521535e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.616446720433432 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.616446720433423 Order of pole (six term test) 0.9999999999999476 TOP MAIN SOLVE Loop x[1] -1.2599999999999993 y[1] (analytic) 0.38645849435770624 y[1] (numeric) 0.3864584943577063 absolute error 5.551115123125783e-17 relative error 1.4364065492600265e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.608601877407831 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6086018774078394 Order of pole (six term test) 1.0000000000000515 TOP MAIN SOLVE Loop x[1] -1.2499999999999993 y[1] (analytic) 0.3902439024390247 y[1] (numeric) 0.3902439024390247 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6007810593582117 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6007810593581944 Order of pole (six term test) 0.9999999999998979 TOP MAIN SOLVE Loop x[1] -1.2399999999999993 y[1] (analytic) 0.39407313997477955 y[1] (numeric) 0.3940731399747796 absolute error 5.551115123125783e-17 relative error 1.4086509736443978e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5929846201391897 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5929846201392008 Order of pole (six term test) 1.000000000000064 TOP MAIN SOLVE Loop x[1] -1.2299999999999993 y[1] (analytic) 0.39794659556687517 y[1] (numeric) 0.3979465955668752 absolute error 5.551115123125783e-17 relative error 1.3949397192902771e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5852129194527775 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.585212919452797 Order of pole (six term test) 1.0000000000001128 TOP MAIN SOLVE Loop x[1] -1.2199999999999993 y[1] (analytic) 0.4018646519852116 y[1] (numeric) 0.4018646519852117 absolute error 1.1102230246251565e-16 relative error 2.762678974477238e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5774663229368793 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5774663229368873 Order of pole (six term test) 1.000000000000048 TOP MAIN SOLVE Loop x[1] -1.2099999999999993 y[1] (analytic) 0.4058276855647095 y[1] (numeric) 0.40582768556470955 absolute error 5.551115123125783e-17 relative error 1.3678502774894232e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5697452022541742 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5697452022541931 Order of pole (six term test) 1.0000000000001101 TOP MAIN SOLVE Loop x[1] -1.1999999999999993 y[1] (analytic) 0.4098360655737707 y[1] (numeric) 0.40983606557377084 absolute error 1.1102230246251565e-16 relative error 2.7089441800853804e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5620499351813304 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5620499351813835 Order of pole (six term test) 1.0000000000003082 TOP MAIN SOLVE Loop x[1] -1.1899999999999993 y[1] (analytic) 0.41389015355324726 y[1] (numeric) 0.4138901535532473 absolute error 5.551115123125783e-17 relative error 1.3412049248984193e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5543809056984708 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5543809056985851 Order of pole (six term test) 1.0000000000006617 TOP MAIN SOLVE Loop x[1] -1.1799999999999993 y[1] (analytic) 0.4179903026249794 y[1] (numeric) 0.41799030262497944 absolute error 5.551115123125783e-17 relative error 1.3280487820566114e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5467385040788242 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5467385040788708 Order of pole (six term test) 1.0000000000002682 TOP MAIN SOLVE Loop x[1] -1.1699999999999993 y[1] (analytic) 0.42213685676896484 y[1] (numeric) 0.42213685676896484 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5391231269784749 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.539123126978469 Order of pole (six term test) 0.9999999999999662 TOP MAIN SOLVE Loop x[1] -1.1599999999999993 y[1] (analytic) 0.4263301500682131 y[1] (numeric) 0.4263301500682132 absolute error 5.551115123125783e-17 relative error 1.3020695632803827e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5315351775261312 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5315351775261206 Order of pole (six term test) 0.9999999999999414 TOP MAIN SOLVE Loop x[1] -1.1499999999999992 y[1] (analytic) 0.43057050592034485 y[1] (numeric) 0.4305705059203448 absolute error 5.551115123125783e-17 relative error 1.289246487345962e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5239750654128164 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5239750654128017 Order of pole (six term test) 0.9999999999999156 TOP MAIN SOLVE Loop x[1] -1.1399999999999992 y[1] (analytic) 0.43485823621499425 y[1] (numeric) 0.43485823621499425 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5164432069813885 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5164432069813933 Order of pole (six term test) 1.0000000000000284 TOP MAIN SOLVE Loop x[1] -1.1299999999999992 y[1] (analytic) 0.4391936404760863 y[1] (numeric) 0.4391936404760863 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5089400253157839 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5089400253157743 Order of pole (six term test) 0.999999999999944 TOP MAIN SOLVE Loop x[1] -1.1199999999999992 y[1] (analytic) 0.4435770049680628 y[1] (numeric) 0.44357700496806285 absolute error 5.551115123125783e-17 relative error 1.2514433933574755e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5014659503298762 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5014659503298808 Order of pole (six term test) 1.0000000000000258 TOP MAIN SOLVE Loop x[1] -1.1099999999999992 y[1] (analytic) 0.4480086017651543 y[1] (numeric) 0.4480086017651543 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4940214188558336 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4940214188558303 Order of pole (six term test) 0.9999999999999822 TOP MAIN SOLVE Loop x[1] -1.0999999999999992 y[1] (analytic) 0.4524886877828058 y[1] (numeric) 0.4524886877828058 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.48660687473185 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4866068747318435 Order of pole (six term test) 0.9999999999999618 TOP MAIN SOLVE Loop x[1] -1.0899999999999992 y[1] (analytic) 0.4570175037703948 y[1] (numeric) 0.4570175037703948 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.479222768889121 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4792227688891262 Order of pole (six term test) 1.0000000000000284 TOP MAIN SOLVE Loop x[1] -1.0799999999999992 y[1] (analytic) 0.4615952732644021 y[1] (numeric) 0.46159527326440214 absolute error 5.551115123125783e-17 relative error 1.2025935802739687e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4718695594379274 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4718695594379219 Order of pole (six term test) 0.999999999999968 TOP MAIN SOLVE Loop x[1] -1.0699999999999992 y[1] (analytic) 0.46622220150123594 y[1] (numeric) 0.46622220150123583 absolute error 1.1102230246251565e-16 relative error 2.3813173655184958e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4645477117526755 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4645477117526682 Order of pole (six term test) 0.9999999999999574 TOP MAIN SOLVE Loop x[1] -1.0599999999999992 y[1] (analytic) 0.47089847428894377 y[1] (numeric) 0.47089847428894366 absolute error 1.1102230246251565e-16 relative error 2.35766961509398e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4572576985557488 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.457257698555741 Order of pole (six term test) 0.9999999999999538 TOP MAIN SOLVE Loop x[1] -1.0499999999999992 y[1] (analytic) 0.4756242568370991 y[1] (numeric) 0.4756242568370991 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4499999999999993 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4499999999999935 Order of pole (six term test) 0.999999999999968 TOP MAIN SOLVE Loop x[1] -1.0399999999999991 y[1] (analytic) 0.48039969254419723 y[1] (numeric) 0.4803996925441972 absolute error 5.551115123125783e-17 relative error 1.1555201240298618e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.442775103749714 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.442775103749711 Order of pole (six term test) 0.9999999999999805 TOP MAIN SOLVE Loop x[1] -1.0299999999999991 y[1] (analytic) 0.48522490174195776 y[1] (numeric) 0.4852249017419578 absolute error 5.551115123125783e-17 relative error 1.1440293157249916e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4355835050598758 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.435583505059875 Order of pole (six term test) 0.9999999999999947 TOP MAIN SOLVE Loop x[1] -1.0199999999999991 y[1] (analytic) 0.4900999803960012 y[1] (numeric) 0.4900999803960012 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4284257068535269 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4284257068535229 Order of pole (six term test) 0.999999999999976 TOP MAIN SOLVE Loop x[1] -1.0099999999999991 y[1] (analytic) 0.4950249987624379 y[1] (numeric) 0.49502499876243794 absolute error 5.551115123125783e-17 relative error 1.1213807660226385e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4213022197970417 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4213022197970384 Order of pole (six term test) 0.9999999999999805 TOP MAIN SOLVE Loop x[1] -0.9999999999999991 y[1] (analytic) 0.5000000000000004 y[1] (numeric) 0.5000000000000004 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4142135623730945 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9899999999999991 y[1] (analytic) 0.505024998737438 y[1] (numeric) 0.505024998737438 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4071602609511107 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4071602609511096 Order of pole (six term test) 0.9999999999999929 TOP MAIN SOLVE Loop x[1] -0.9799999999999991 y[1] (analytic) 0.5100999795960013 y[1] (numeric) 0.5100999795960013 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4001428498549704 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.40014284985497 Order of pole (six term test) 1.0 TOP MAIN SOLVE Loop x[1] -0.9699999999999991 y[1] (analytic) 0.5152248956669591 y[1] (numeric) 0.5152248956669591 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.393161871427724 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3931618714277239 Order of pole (six term test) 0.9999999999999973 TOP MAIN SOLVE Loop x[1] -0.9599999999999991 y[1] (analytic) 0.5203996669442137 y[1] (numeric) 0.5203996669442136 absolute error 1.1102230246251565e-16 relative error 2.1334045641196986e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.386217876093076 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3862178760930755 Order of pole (six term test) 0.9999999999999991 TOP MAIN SOLVE Loop x[1] -0.9499999999999991 y[1] (analytic) 0.5256241787122213 y[1] (numeric) 0.5256241787122212 absolute error 1.1102230246251565e-16 relative error 2.112199304349358e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3793114224133716 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3793114224133702 Order of pole (six term test) 0.9999999999999938 TOP MAIN SOLVE Loop x[1] -0.9399999999999991 y[1] (analytic) 0.5308982798895737 y[1] (numeric) 0.5308982798895736 absolute error 1.1102230246251565e-16 relative error 2.0912160891839425e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3724430771438203 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.372443077143819 Order of pole (six term test) 0.9999999999999956 TOP MAIN SOLVE Loop x[1] -0.929999999999999 y[1] (analytic) 0.5362217813287581 y[1] (numeric) 0.5362217813287581 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.36561341528267 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.36561341528267 Order of pole (six term test) 0.9999999999999973 TOP MAIN SOLVE Loop x[1] -0.919999999999999 y[1] (analytic) 0.5415944540727908 y[1] (numeric) 0.5415944540727908 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3588230201170417 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3588230201170415 Order of pole (six term test) 1.0000000000000036 TOP MAIN SOLVE Loop x[1] -0.909999999999999 y[1] (analytic) 0.5470160275696083 y[1] (numeric) 0.5470160275696083 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3520724832641178 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3520724832641173 Order of pole (six term test) 0.9999999999999982 TOP MAIN SOLVE Loop x[1] -0.899999999999999 y[1] (analytic) 0.5524861878453043 y[1] (numeric) 0.5524861878453045 absolute error 1.1102230246251565e-16 relative error 2.0095036745715318e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3453624047073705 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.345362404707371 Order of pole (six term test) 1.0000000000000062 TOP MAIN SOLVE Loop x[1] -0.889999999999999 y[1] (analytic) 0.5580045756375208 y[1] (numeric) 0.5580045756375208 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3386933928274982 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.338693392827499 Order of pole (six term test) 1.000000000000007 TOP MAIN SOLVE Loop x[1] -0.879999999999999 y[1] (analytic) 0.5635707844905326 y[1] (numeric) 0.5635707844905326 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3320660644277362 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.332066064427737 Order of pole (six term test) 1.0000000000000062 TOP MAIN SOLVE Loop x[1] -0.869999999999999 y[1] (analytic) 0.5691843588138205 y[1] (numeric) 0.5691843588138203 absolute error 1.1102230246251565e-16 relative error 1.9505508319639353e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3254810447531862 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3254810447531873 Order of pole (six term test) 1.0000000000000098 TOP MAIN SOLVE Loop x[1] -0.859999999999999 y[1] (analytic) 0.5748447919061859 y[1] (numeric) 0.5748447919061859 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3189389675038032 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3189389675038052 Order of pole (six term test) 1.0000000000000195 TOP MAIN SOLVE Loop x[1] -0.849999999999999 y[1] (analytic) 0.5805515239477509 y[1] (numeric) 0.5805515239477509 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3124404748406682 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3124404748406695 Order of pole (six term test) 1.0000000000000115 TOP MAIN SOLVE Loop x[1] -0.839999999999999 y[1] (analytic) 0.5863039399624772 y[1] (numeric) 0.5863039399624771 absolute error 1.1102230246251565e-16 relative error 1.8935963908006648e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.30598621738516 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.30598621738516 Order of pole (six term test) 1.0 TOP MAIN SOLVE Loop x[1] -0.829999999999999 y[1] (analytic) 0.5921013677541601 y[1] (numeric) 0.5921013677541601 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2995768542106305 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.299576854210633 Order of pole (six term test) 1.0000000000000213 TOP MAIN SOLVE Loop x[1] -0.819999999999999 y[1] (analytic) 0.5979430758191826 y[1] (numeric) 0.5979430758191826 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2932130528261763 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2932130528261772 Order of pole (six term test) 1.000000000000008 TOP MAIN SOLVE Loop x[1] -0.8099999999999989 y[1] (analytic) 0.6038282712396601 y[1] (numeric) 0.60382827123966 absolute error 1.1102230246251565e-16 relative error 1.8386403510817197e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2868954891520905 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2868954891520903 Order of pole (six term test) 1.0 TOP MAIN SOLVE Loop x[1] -0.7999999999999989 y[1] (analytic) 0.6097560975609763 y[1] (numeric) 0.6097560975609762 absolute error 1.1102230246251565e-16 relative error 1.8207657603852548e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2806248474865691 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2806248474865691 Order of pole (six term test) 1.0000000000000018 TOP MAIN SOLVE Loop x[1] -0.7899999999999989 y[1] (analytic) 0.6157256326580882 y[1] (numeric) 0.6157256326580881 absolute error 1.1102230246251565e-16 relative error 1.8031132142937148e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2744018204632315 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2744018204632366 Order of pole (six term test) 1.00000000000004 TOP MAIN SOLVE Loop x[1] -0.7799999999999989 y[1] (analytic) 0.6217358865953749 y[1] (numeric) 0.6217358865953748 absolute error 1.1102230246251565e-16 relative error 1.7856827128071e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2682271089990145 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.268227108999018 Order of pole (six term test) 1.0000000000000275 TOP MAIN SOLVE Loop x[1] -0.7699999999999989 y[1] (analytic) 0.6277857994852163 y[1] (numeric) 0.6277857994852162 absolute error 1.1102230246251565e-16 relative error 1.7684742559254102e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2621014222319846 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.262101422231984 Order of pole (six term test) 0.9999999999999964 TOP MAIN SOLVE Loop x[1] -0.7599999999999989 y[1] (analytic) 0.6338742393509135 y[1] (numeric) 0.6338742393509134 absolute error 1.1102230246251565e-16 relative error 1.751487843648645e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.256025477448606 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2560254774486013 Order of pole (six term test) 0.9999999999999636 TOP MAIN SOLVE Loop x[1] -0.7499999999999989 y[1] (analytic) 0.6400000000000007 y[1] (numeric) 0.6400000000000006 absolute error 1.1102230246251565e-16 relative error 1.7347234759768052e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2499999999999993 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.249999999999999 Order of pole (six term test) 0.9999999999999973 TOP MAIN SOLVE Loop x[1] -0.7399999999999989 y[1] (analytic) 0.6461617989144489 y[1] (numeric) 0.6461617989144488 absolute error 1.1102230246251565e-16 relative error 1.7181811529098903e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2440257232067182 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2440257232067133 Order of pole (six term test) 0.9999999999999609 TOP MAIN SOLVE Loop x[1] -0.7299999999999989 y[1] (analytic) 0.6523582751647211 y[1] (numeric) 0.6523582751647211 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2381033882515622 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2381033882515609 Order of pole (six term test) 0.9999999999999902 TOP MAIN SOLVE Loop x[1] -0.7199999999999989 y[1] (analytic) 0.6585879873551114 y[1] (numeric) 0.6585879873551113 absolute error 1.1102230246251565e-16 relative error 1.6857626405908358e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2322337440599485 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2322337440599735 Order of pole (six term test) 1.0000000000002025 TOP MAIN SOLVE Loop x[1] -0.7099999999999989 y[1] (analytic) 0.6648494116082714 y[1] (numeric) 0.6648494116082714 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.226417547167358 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2264175471673762 Order of pole (six term test) 1.0000000000001465 TOP MAIN SOLVE Loop x[1] -0.6999999999999988 y[1] (analytic) 0.6711409395973161 y[1] (numeric) 0.6711409395973161 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2206555615733696 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2206555615733719 Order of pole (six term test) 1.0000000000000187 TOP MAIN SOLVE Loop x[1] -0.6899999999999988 y[1] (analytic) 0.677460876634375 y[1] (numeric) 0.677460876634375 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.214948558581802 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.214948558581797 Order of pole (six term test) 0.99999999999996 TOP MAIN SOLVE Loop x[1] -0.6799999999999988 y[1] (analytic) 0.6838074398249461 y[1] (numeric) 0.683807439824946 absolute error 1.1102230246251565e-16 relative error 1.623590151211827e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2092973166264773 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.209297316626477 Order of pole (six term test) 0.9999999999999991 TOP MAIN SOLVE Loop x[1] -0.6699999999999988 y[1] (analytic) 0.690178756297882 y[1] (numeric) 0.6901787562978818 absolute error 1.1102230246251565e-16 relative error 1.6086021403793876e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2037026210821336 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2037026210821262 Order of pole (six term test) 0.999999999999944 TOP MAIN SOLVE Loop x[1] -0.6599999999999988 y[1] (analytic) 0.6965728615213159 y[1] (numeric) 0.6965728615213158 absolute error 1.1102230246251565e-16 relative error 1.593836174151873e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.198165264060012 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1981652640600104 Order of pole (six term test) 0.9999999999999893 TOP MAIN SOLVE Loop x[1] -0.6499999999999988 y[1] (analytic) 0.7029876977152907 y[1] (numeric) 0.7029876977152907 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1926860441876557 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1926860441876614 Order of pole (six term test) 1.0000000000000453 TOP MAIN SOLVE Loop x[1] -0.6399999999999988 y[1] (analytic) 0.709421112372305 y[1] (numeric) 0.7094211123723049 absolute error 1.1102230246251565e-16 relative error 1.564970375511619e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1872657663724657 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1872657663724686 Order of pole (six term test) 1.0000000000000249 TOP MAIN SOLVE Loop x[1] -0.6299999999999988 y[1] (analytic) 0.7158708568974165 y[1] (numeric) 0.7158708568974164 absolute error 1.1102230246251565e-16 relative error 1.5508705430988796e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1819052415485762 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1819052415485722 Order of pole (six term test) 0.9999999999999689 TOP MAIN SOLVE Loop x[1] -0.6199999999999988 y[1] (analytic) 0.7223345853799488 y[1] (numeric) 0.7223345853799487 absolute error 1.1102230246251565e-16 relative error 1.536992755291065e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1766052864066177 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1766052864066225 Order of pole (six term test) 1.000000000000039 TOP MAIN SOLVE Loop x[1] -0.6099999999999988 y[1] (analytic) 0.7288098535092202 y[1] (numeric) 0.7288098535092201 absolute error 1.1102230246251565e-16 relative error 1.5233370120881758e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1713667231059617 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1713667231059628 Order of pole (six term test) 1.0000000000000098 TOP MAIN SOLVE Loop x[1] -0.5999999999999988 y[1] (analytic) 0.7352941176470597 y[1] (numeric) 0.7352941176470595 absolute error 1.1102230246251565e-16 relative error 1.5099033134902113e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1661903789690595 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1661903789690642 Order of pole (six term test) 1.0000000000000373 TOP MAIN SOLVE Loop x[1] -0.5899999999999987 y[1] (analytic) 0.7417847340701736 y[1] (numeric) 0.7417847340701735 absolute error 1.1102230246251565e-16 relative error 1.496691659497172e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1610770861575033 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1610770861575106 Order of pole (six term test) 1.0000000000000568 TOP MAIN SOLVE Loop x[1] -0.5799999999999987 y[1] (analytic) 0.7482789583956908 y[1] (numeric) 0.7482789583956906 absolute error 2.220446049250313e-16 relative error 2.967404100218115e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1560276813294734 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1560276813294927 Order of pole (six term test) 1.0000000000001519 TOP MAIN SOLVE Loop x[1] -0.5699999999999987 y[1] (analytic) 0.7547739452034123 y[1] (numeric) 0.7547739452034122 absolute error 1.1102230246251565e-16 relative error 1.4709344853258684e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1510430052782556 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1510430052782443 Order of pole (six term test) 0.9999999999999103 TOP MAIN SOLVE Loop x[1] -0.5599999999999987 y[1] (analytic) 0.7612667478684539 y[1] (numeric) 0.7612667478684537 absolute error 2.220446049250313e-16 relative error 2.916777930295208e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1461239025515515 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1461239025515517 Order of pole (six term test) 0.9999999999999991 TOP MAIN SOLVE Loop x[1] -0.5499999999999987 y[1] (analytic) 0.767754318618043 y[1] (numeric) 0.7677543186180429 absolute error 1.1102230246251565e-16 relative error 1.4460654895742648e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.141271221051332 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1412712210513345 Order of pole (six term test) 1.000000000000016 TOP MAIN SOLVE Loop x[1] -0.5399999999999987 y[1] (analytic) 0.7742335088262629 y[1] (numeric) 0.7742335088262626 absolute error 2.220446049250313e-16 relative error 2.867928117211701e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.136485811614029 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1364858116140326 Order of pole (six term test) 1.0000000000000293 TOP MAIN SOLVE Loop x[1] -0.5299999999999987 y[1] (analytic) 0.7807010695604661 y[1] (numeric) 0.7807010695604659 absolute error 2.220446049250313e-16 relative error 2.844169344484723e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.131768527570898 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1317685275708964 Order of pole (six term test) 0.9999999999999876 TOP MAIN SOLVE Loop x[1] -0.5199999999999987 y[1] (analytic) 0.787153652392948 y[1] (numeric) 0.7871536523929478 absolute error 2.220446049250313e-16 relative error 2.8208546609675947e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.127120224288429 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1271202242884277 Order of pole (six term test) 0.9999999999999876 TOP MAIN SOLVE Loop x[1] -0.5099999999999987 y[1] (analytic) 0.7935878104912317 y[1] (numeric) 0.7935878104912315 absolute error 2.220446049250313e-16 relative error 2.7979840666603165e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1225417586887352 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1225417586887354 Order of pole (six term test) 1.0 TOP MAIN SOLVE Loop x[1] -0.49999999999999867 y[1] (analytic) 0.8000000000000008 y[1] (numeric) 0.8000000000000006 absolute error 2.220446049250313e-16 relative error 2.7755575615628885e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1180339887498942 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.118033988749893 Order of pole (six term test) 0.9999999999999902 TOP MAIN SOLVE Loop x[1] -0.48999999999999866 y[1] (analytic) 0.806386581727281 y[1] (numeric) 0.8063865817272806 absolute error 3.3306690738754696e-16 relative error 4.130362718512965e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1135977729862783 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1135977729862783 Order of pole (six term test) 1.0000000000000009 TOP MAIN SOLVE Loop x[1] -0.47999999999999865 y[1] (analytic) 0.812743823146945 y[1] (numeric) 0.8127438231469446 absolute error 4.440892098500626e-16 relative error 5.464073637995164e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.109233969908963 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.109233969908963 Order of pole (six term test) 1.0000000000000018 TOP MAIN SOLVE Loop x[1] -0.46999999999999864 y[1] (analytic) 0.8190679007289713 y[1] (numeric) 0.819067900728971 absolute error 3.3306690738754696e-16 relative error 4.066413872294557e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1049434374663705 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.104943437466371 Order of pole (six term test) 1.0000000000000044 TOP MAIN SOLVE Loop x[1] -0.45999999999999863 y[1] (analytic) 0.8253549026081224 y[1] (numeric) 0.825354902608122 absolute error 3.3306690738754696e-16 relative error 4.035438649907515e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1007270324653604 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1007270324653604 Order of pole (six term test) 1.0 TOP MAIN SOLVE Loop x[1] -0.4499999999999986 y[1] (analytic) 0.8316008316008324 y[1] (numeric) 0.8316008316008322 absolute error 2.220446049250313e-16 relative error 2.670086374223499e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0965856099730649 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0965856099730646 Order of pole (six term test) 0.9999999999999982 TOP MAIN SOLVE Loop x[1] -0.4399999999999986 y[1] (analytic) 0.8378016085790894 y[1] (numeric) 0.837801608579089 absolute error 3.3306690738754696e-16 relative error 3.9754866065777566e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0925200226998124 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0925200226998122 Order of pole (six term test) 0.9999999999999991 TOP MAIN SOLVE Loop x[1] -0.4299999999999986 y[1] (analytic) 0.8439530762089636 y[1] (numeric) 0.8439530762089633 absolute error 3.3306690738754696e-16 relative error 3.94650978563504e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0885311203635837 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0885311203635835 Order of pole (six term test) 1.0 TOP MAIN SOLVE Loop x[1] -0.4199999999999986 y[1] (analytic) 0.8500510030601844 y[1] (numeric) 0.8500510030601841 absolute error 3.3306690738754696e-16 relative error 3.918199098507099e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0846197490364993 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0846197490364997 Order of pole (six term test) 1.0000000000000036 TOP MAIN SOLVE Loop x[1] -0.4099999999999986 y[1] (analytic) 0.8560910880917738 y[1] (numeric) 0.8560910880917735 absolute error 3.3306690738754696e-16 relative error 3.8905545451939324e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0807867504739308 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0807867504739308 Order of pole (six term test) 0.9999999999999991 TOP MAIN SOLVE Loop x[1] -0.3999999999999986 y[1] (analytic) 0.8620689655172422 y[1] (numeric) 0.8620689655172419 absolute error 3.3306690738754696e-16 relative error 3.863576125695541e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0770329614269003 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0770329614269005 Order of pole (six term test) 1.0000000000000018 TOP MAIN SOLVE Loop x[1] -0.38999999999999857 y[1] (analytic) 0.8679802100512117 y[1] (numeric) 0.8679802100512113 absolute error 4.440892098500626e-16 relative error 5.116351786682566e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0733592129385199 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.073359212938521 Order of pole (six term test) 1.0000000000000098 TOP MAIN SOLVE Loop x[1] -0.37999999999999856 y[1] (analytic) 0.873820342537575 y[1] (numeric) 0.8738203425375747 absolute error 3.3306690738754696e-16 relative error 3.811617688143084e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0697663296253062 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0697663296253066 Order of pole (six term test) 1.0000000000000062 TOP MAIN SOLVE Loop x[1] -0.36999999999999855 y[1] (analytic) 0.879584835957429 y[1] (numeric) 0.8795848359574285 absolute error 4.440892098500626e-16 relative error 5.048850226785357e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0662551289442874 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0662551289442874 Order of pole (six term test) 1.0000000000000009 TOP MAIN SOLVE Loop x[1] -0.35999999999999854 y[1] (analytic) 0.8852691218130319 y[1] (numeric) 0.8852691218130316 absolute error 2.220446049250313e-16 relative error 2.5082158572331516e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0628264204469133 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0628264204469136 Order of pole (six term test) 1.0000000000000027 TOP MAIN SOLVE Loop x[1] -0.34999999999999853 y[1] (analytic) 0.8908685968819607 y[1] (numeric) 0.8908685968819604 absolute error 3.3306690738754696e-16 relative error 3.738676035425211e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.059481005020854 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.059481005020855 Order of pole (six term test) 1.0000000000000107 TOP MAIN SOLVE Loop x[1] -0.3399999999999985 y[1] (analytic) 0.8963786303334537 y[1] (numeric) 0.8963786303334533 absolute error 3.3306690738754696e-16 relative error 3.715694418815471e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0562196741208711 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.05621967412087 Order of pole (six term test) 0.9999999999999893 TOP MAIN SOLVE Loop x[1] -0.3299999999999985 y[1] (analytic) 0.9017945711966822 y[1] (numeric) 0.9017945711966818 absolute error 3.3306690738754696e-16 relative error 3.693378936020505e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0530432089900201 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0530432089900292 Order of pole (six term test) 1.000000000000088 TOP MAIN SOLVE Loop x[1] -0.3199999999999985 y[1] (analytic) 0.9071117561683608 y[1] (numeric) 0.9071117561683604 absolute error 4.440892098500626e-16 relative error 4.8956394493870856e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0499523798725345 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0499523798725552 Order of pole (six term test) 1.0000000000001954 TOP MAIN SOLVE Loop x[1] -0.3099999999999985 y[1] (analytic) 0.9123255177447321 y[1] (numeric) 0.9123255177447317 absolute error 4.440892098500626e-16 relative error 4.867661829166532e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.046947945219818 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0469479452198185 Order of pole (six term test) 1.0000000000000044 TOP MAIN SOLVE Loop x[1] -0.2999999999999985 y[1] (analytic) 0.9174311926605512 y[1] (numeric) 0.9174311926605508 absolute error 3.3306690738754696e-16 relative error 3.6304292905242594e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0440306508910546 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.044030650891057 Order of pole (six term test) 1.000000000000023 TOP MAIN SOLVE Loop x[1] -0.2899999999999985 y[1] (analytic) 0.9224241306152576 y[1] (numeric) 0.9224241306152573 absolute error 3.3306690738754696e-16 relative error 3.6107783429883937e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.041201229350023 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0412012293500208 Order of pole (six term test) 0.9999999999999796 TOP MAIN SOLVE Loop x[1] -0.2799999999999985 y[1] (analytic) 0.9272997032640957 y[1] (numeric) 0.9272997032640954 absolute error 3.3306690738754696e-16 relative error 3.591793529267304e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0384603988597731 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0384603988597738 Order of pole (six term test) 1.000000000000007 TOP MAIN SOLVE Loop x[1] -0.26999999999999846 y[1] (analytic) 0.9320533134495301 y[1] (numeric) 0.9320533134495297 absolute error 4.440892098500626e-16 relative error 4.7646331324813177e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0358088626768933 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0358088626768887 Order of pole (six term test) 0.9999999999999583 TOP MAIN SOLVE Loop x[1] -0.25999999999999845 y[1] (analytic) 0.9366804046459355 y[1] (numeric) 0.9366804046459352 absolute error 3.3306690738754696e-16 relative error 3.5558223032694485e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0332473082471587 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0332473082471583 Order of pole (six term test) 0.9999999999999947 TOP MAIN SOLVE Loop x[1] -0.24999999999999845 y[1] (analytic) 0.9411764705882361 y[1] (numeric) 0.9411764705882356 absolute error 4.440892098500626e-16 relative error 4.7184478546569115e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0307764064044147 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0307764064044156 Order of pole (six term test) 1.0000000000000089 TOP MAIN SOLVE Loop x[1] -0.23999999999999844 y[1] (analytic) 0.9455370650529508 y[1] (numeric) 0.9455370650529503 absolute error 4.440892098500626e-16 relative error 4.6966874833742587e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0283968105745949 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0283968105745942 Order of pole (six term test) 0.999999999999992 TOP MAIN SOLVE Loop x[1] -0.22999999999999843 y[1] (analytic) 0.9497578117580023 y[1] (numeric) 0.9497578117580019 absolute error 4.440892098500626e-16 relative error 4.6758152905113064e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0261091559868274 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0261091559868287 Order of pole (six term test) 1.0000000000000133 TOP MAIN SOLVE Loop x[1] -0.21999999999999842 y[1] (analytic) 0.9538344143456702 y[1] (numeric) 0.9538344143456697 absolute error 4.440892098500626e-16 relative error 4.6558312760680535e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.023914058893616 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0239140588936169 Order of pole (six term test) 1.0000000000000089 TOP MAIN SOLVE Loop x[1] -0.2099999999999984 y[1] (analytic) 0.9577626664112638 y[1] (numeric) 0.9577626664112634 absolute error 4.440892098500626e-16 relative error 4.636735440044501e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0218121158021172 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0218121158021136 Order of pole (six term test) 0.999999999999968 TOP MAIN SOLVE Loop x[1] -0.1999999999999984 y[1] (analytic) 0.9615384615384621 y[1] (numeric) 0.9615384615384617 absolute error 4.440892098500626e-16 relative error 4.6185277824406487e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0198039027185566 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0198039027185557 Order of pole (six term test) 0.9999999999999911 TOP MAIN SOLVE Loop x[1] -0.1899999999999984 y[1] (analytic) 0.9651578033008403 y[1] (numeric) 0.9651578033008398 absolute error 5.551115123125783e-16 relative error 5.751510379070619e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0178899744078431 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0178899744078425 Order of pole (six term test) 0.9999999999999938 TOP MAIN SOLVE Loop x[1] -0.17999999999999838 y[1] (analytic) 0.9686168151879123 y[1] (numeric) 0.9686168151879118 absolute error 5.551115123125783e-16 relative error 5.730971253115055e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0160708636704427 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0160708636704332 Order of pole (six term test) 0.9999999999999138 TOP MAIN SOLVE Loop x[1] -0.16999999999999837 y[1] (analytic) 0.971911750413063 y[1] (numeric) 0.9719117504130625 absolute error 4.440892098500626e-16 relative error 4.569233880147292e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0143470806385748 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.014347080638576 Order of pole (six term test) 1.0000000000000107 TOP MAIN SOLVE Loop x[1] -0.15999999999999837 y[1] (analytic) 0.975039001560063 y[1] (numeric) 0.9750390015600624 absolute error 5.551115123125783e-16 relative error 5.6932236702778e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0127191120937726 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.012719112093773 Order of pole (six term test) 1.0000000000000027 TOP MAIN SOLVE Loop x[1] -0.14999999999999836 y[1] (analytic) 0.9779951100244504 y[1] (numeric) 0.9779951100244498 absolute error 5.551115123125783e-16 relative error 5.6760152133961097e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.011187420807834 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0111874208078333 Order of pole (six term test) 0.9999999999999938 TOP MAIN SOLVE Loop x[1] -0.13999999999999835 y[1] (analytic) 0.9807767752059635 y[1] (numeric) 0.9807767752059631 absolute error 4.440892098500626e-16 relative error 4.527933583631237e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0097524449091468 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0097524449091464 Order of pole (six term test) 0.9999999999999947 TOP MAIN SOLVE Loop x[1] -0.12999999999999834 y[1] (analytic) 0.9833808634083986 y[1] (numeric) 0.983380863408398 absolute error 5.551115123125783e-16 relative error 5.644928968706606e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0084145972763383 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0084145972763379 Order of pole (six term test) 0.9999999999999956 TOP MAIN SOLVE Loop x[1] -0.11999999999999834 y[1] (analytic) 0.9858044164037859 y[1] (numeric) 0.9858044164037855 absolute error 4.440892098500626e-16 relative error 4.504840944719033e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0071742649611335 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0071742649611326 Order of pole (six term test) 0.9999999999999938 TOP MAIN SOLVE Loop x[1] -0.10999999999999835 y[1] (analytic) 0.9880446596186152 y[1] (numeric) 0.9880446596186148 absolute error 4.440892098500626e-16 relative error 4.4946268928924816e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0060318086422515 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0060318086422524 Order of pole (six term test) 1.0000000000000098 TOP MAIN SOLVE Loop x[1] -0.09999999999999835 y[1] (analytic) 0.9900990099009905 y[1] (numeric) 0.9900990099009901 absolute error 4.440892098500626e-16 relative error 4.4853010194856305e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0049875621120887 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0049875621120878 Order of pole (six term test) 0.999999999999992 TOP MAIN SOLVE Loop x[1] -0.08999999999999836 y[1] (analytic) 0.9919650828290847 y[1] (numeric) 0.9919650828290844 absolute error 3.3306690738754696e-16 relative error 3.35764749337386e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0040418317978588 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0040418317978592 Order of pole (six term test) 1.0000000000000036 TOP MAIN SOLVE Loop x[1] -0.07999999999999836 y[1] (analytic) 0.9936406995230527 y[1] (numeric) 0.9936406995230523 absolute error 3.3306690738754696e-16 relative error 3.351985355948272e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.003194896318756 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.003194896318757 Order of pole (six term test) 1.000000000000008 TOP MAIN SOLVE Loop x[1] -0.06999999999999837 y[1] (analytic) 0.9951238929246694 y[1] (numeric) 0.995123892924669 absolute error 4.440892098500626e-16 relative error 4.462652469783278e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0024470060806205 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0024470060806212 Order of pole (six term test) 1.0000000000000089 TOP MAIN SOLVE Loop x[1] -0.05999999999999837 y[1] (analytic) 0.9964129135113593 y[1] (numeric) 0.996412913511359 absolute error 3.3306690738754696e-16 relative error 3.3426594825414205e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0017983829094554 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0017983829094566 Order of pole (six term test) 1.0000000000000098 TOP MAIN SOLVE Loop x[1] -0.049999999999998365 y[1] (analytic) 0.9975062344139651 y[1] (numeric) 0.9975062344139649 absolute error 2.220446049250313e-16 relative error 2.225997164373439e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0012492197250393 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.001249219725041 Order of pole (six term test) 1.0000000000000187 TOP MAIN SOLVE Loop x[1] -0.03999999999999836 y[1] (analytic) 0.9984025559105433 y[1] (numeric) 0.9984025559105429 absolute error 3.3306690738754696e-16 relative error 3.33599814439367e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0007996802557442 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0007996802557422 Order of pole (six term test) 0.9999999999999822 TOP MAIN SOLVE Loop x[1] -0.02999999999999836 y[1] (analytic) 0.9991008092716556 y[1] (numeric) 0.9991008092716553 absolute error 2.220446049250313e-16 relative error 2.222444450694638e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0004498987955368 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0004498987955373 Order of pole (six term test) 1.0000000000000044 TOP MAIN SOLVE Loop x[1] -0.01999999999999836 y[1] (analytic) 0.9996001599360256 y[1] (numeric) 0.9996001599360254 absolute error 2.220446049250313e-16 relative error 2.2213342276700133e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.000199980003999 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0001999800039976 Order of pole (six term test) 0.9999999999999867 TOP MAIN SOLVE Loop x[1] -0.00999999999999836 y[1] (analytic) 0.9999000099990001 y[1] (numeric) 0.9999000099989999 absolute error 2.220446049250313e-16 relative error 2.2206680938552382e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0000499987500624 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.000049998750063 Order of pole (six term test) 1.000000000000007 TOP MAIN SOLVE Loop x[1] 1.6410484082740595e-15 y[1] (analytic) 1.0 y[1] (numeric) 0.9999999999999998 absolute error 2.220446049250313e-16 relative error 2.220446049250313e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6410484082740591e-15 Order of pole (three term test) 11.999999999999998 Radius of convergence (six term test) for eq 1 0.9999999999999996 Order of pole (six term test) 0.9999999999999964 TOP MAIN SOLVE Loop x[1] 0.010000000000001641 y[1] (analytic) 0.9999000099990001 y[1] (numeric) 0.9999000099989999 absolute error 2.220446049250313e-16 relative error 2.2206680938552382e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0000499987500624 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0000499987500622 Order of pole (six term test) 0.9999999999999982 TOP MAIN SOLVE Loop x[1] 0.02000000000000164 y[1] (analytic) 0.9996001599360256 y[1] (numeric) 0.9996001599360254 absolute error 2.220446049250313e-16 relative error 2.2213342276700133e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.000199980003999 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0001999800039998 Order of pole (six term test) 1.000000000000008 TOP MAIN SOLVE Loop x[1] 0.030000000000001643 y[1] (analytic) 0.9991008092716553 y[1] (numeric) 0.9991008092716552 absolute error 1.1102230246251565e-16 relative error 1.1112222253473194e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.000449898795537 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0004498987955377 Order of pole (six term test) 1.000000000000007 TOP MAIN SOLVE Loop x[1] 0.040000000000001645 y[1] (analytic) 0.998402555910543 y[1] (numeric) 0.9984025559105428 absolute error 2.220446049250313e-16 relative error 2.2239987629291138e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0007996802557444 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0007996802557455 Order of pole (six term test) 1.0000000000000115 TOP MAIN SOLVE Loop x[1] 0.05000000000000165 y[1] (analytic) 0.9975062344139649 y[1] (numeric) 0.9975062344139648 absolute error 1.1102230246251565e-16 relative error 1.1129985821867196e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0012492197250393 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0012492197250409 Order of pole (six term test) 1.000000000000015 TOP MAIN SOLVE Loop x[1] 0.06000000000000165 y[1] (analytic) 0.9964129135113589 y[1] (numeric) 0.9964129135113587 absolute error 1.1102230246251565e-16 relative error 1.1142198275138074e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0017983829094557 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.001798382909457 Order of pole (six term test) 1.0000000000000115 TOP MAIN SOLVE Loop x[1] 0.07000000000000164 y[1] (analytic) 0.995123892924669 y[1] (numeric) 0.9951238929246687 absolute error 2.220446049250313e-16 relative error 2.2313262348916398e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0024470060806208 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0024470060806219 Order of pole (six term test) 1.0000000000000115 TOP MAIN SOLVE Loop x[1] 0.08000000000000164 y[1] (analytic) 0.9936406995230522 y[1] (numeric) 0.993640699523052 absolute error 2.220446049250313e-16 relative error 2.2346569039655157e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0031948963187562 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0031948963187565 Order of pole (six term test) 1.0000000000000036 TOP MAIN SOLVE Loop x[1] 0.09000000000000163 y[1] (analytic) 0.9919650828290842 y[1] (numeric) 0.9919650828290839 absolute error 3.3306690738754696e-16 relative error 3.3576474933738616e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.004041831797859 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0040418317978577 Order of pole (six term test) 0.9999999999999867 TOP MAIN SOLVE Loop x[1] 0.10000000000000163 y[1] (analytic) 0.9900990099009899 y[1] (numeric) 0.9900990099009895 absolute error 3.3306690738754696e-16 relative error 3.363975764614225e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0049875621120892 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.00498756211209 Order of pole (six term test) 1.0000000000000089 TOP MAIN SOLVE Loop x[1] 0.11000000000000162 y[1] (analytic) 0.9880446596186143 y[1] (numeric) 0.9880446596186142 absolute error 1.1102230246251565e-16 relative error 1.1236567232231215e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.006031808642252 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.006031808642253 Order of pole (six term test) 1.0000000000000115 TOP MAIN SOLVE Loop x[1] 0.12000000000000162 y[1] (analytic) 0.9858044164037851 y[1] (numeric) 0.9858044164037849 absolute error 2.220446049250313e-16 relative error 2.2524204723595185e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.007174264961134 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0071742649611333 Order of pole (six term test) 0.9999999999999938 TOP MAIN SOLVE Loop x[1] 0.13000000000000161 y[1] (analytic) 0.9833808634083977 y[1] (numeric) 0.9833808634083975 absolute error 2.220446049250313e-16 relative error 2.2579715874826443e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0084145972763388 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0084145972763388 Order of pole (six term test) 1.0000000000000018 TOP MAIN SOLVE Loop x[1] 0.14000000000000162 y[1] (analytic) 0.9807767752059626 y[1] (numeric) 0.9807767752059625 absolute error 1.1102230246251565e-16 relative error 1.1319833959078102e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0097524449091473 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0097524449091484 Order of pole (six term test) 1.0000000000000107 TOP MAIN SOLVE Loop x[1] 0.15000000000000163 y[1] (analytic) 0.9779951100244495 y[1] (numeric) 0.9779951100244493 absolute error 2.220446049250313e-16 relative error 2.270406085358446e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0111874208078344 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0111874208078324 Order of pole (six term test) 0.9999999999999813 TOP MAIN SOLVE Loop x[1] 0.16000000000000164 y[1] (analytic) 0.975039001560062 y[1] (numeric) 0.9750390015600617 absolute error 2.220446049250313e-16 relative error 2.277289468111122e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0127191120937733 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0127191120937733 Order of pole (six term test) 1.0000000000000009 TOP MAIN SOLVE Loop x[1] 0.17000000000000165 y[1] (analytic) 0.9719117504130619 y[1] (numeric) 0.9719117504130618 absolute error 1.1102230246251565e-16 relative error 1.1423084700368244e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0143470806385755 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0143470806385746 Order of pole (six term test) 0.999999999999992 TOP MAIN SOLVE Loop x[1] 0.18000000000000166 y[1] (analytic) 0.9686168151879111 y[1] (numeric) 0.9686168151879109 absolute error 2.220446049250313e-16 relative error 2.2923885012460247e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0160708636704434 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0160708636704479 Order of pole (six term test) 1.00000000000004 TOP MAIN SOLVE Loop x[1] 0.19000000000000167 y[1] (analytic) 0.965157803300839 y[1] (numeric) 0.9651578033008389 absolute error 1.1102230246251565e-16 relative error 1.1503020758141255e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0178899744078438 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0178899744078447 Order of pole (six term test) 1.000000000000007 TOP MAIN SOLVE Loop x[1] 0.20000000000000168 y[1] (analytic) 0.9615384615384609 y[1] (numeric) 0.9615384615384607 absolute error 2.220446049250313e-16 relative error 2.3092638912203272e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0198039027185573 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0198039027185575 Order of pole (six term test) 1.0000000000000036 TOP MAIN SOLVE Loop x[1] 0.21000000000000169 y[1] (analytic) 0.9577626664112626 y[1] (numeric) 0.9577626664112624 absolute error 2.220446049250313e-16 relative error 2.3183677200222534e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0218121158021178 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.021812115802116 Order of pole (six term test) 0.9999999999999849 TOP MAIN SOLVE Loop x[1] 0.2200000000000017 y[1] (analytic) 0.953834414345669 y[1] (numeric) 0.9538344143456686 absolute error 3.3306690738754696e-16 relative error 3.4918734570510447e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0239140588936166 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0239140588936146 Order of pole (six term test) 0.9999999999999813 TOP MAIN SOLVE Loop x[1] 0.2300000000000017 y[1] (analytic) 0.949757811758001 y[1] (numeric) 0.9497578117580007 absolute error 3.3306690738754696e-16 relative error 3.5068614678834845e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.026109155986828 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.026109155986828 Order of pole (six term test) 0.9999999999999991 TOP MAIN SOLVE Loop x[1] 0.2400000000000017 y[1] (analytic) 0.9455370650529494 y[1] (numeric) 0.945537065052949 absolute error 4.440892098500626e-16 relative error 4.6966874833742656e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0283968105745958 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0283968105745955 Order of pole (six term test) 0.9999999999999973 TOP MAIN SOLVE Loop x[1] 0.2500000000000017 y[1] (analytic) 0.9411764705882345 y[1] (numeric) 0.9411764705882342 absolute error 3.3306690738754696e-16 relative error 3.5388358909926896e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0307764064044156 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0307764064044147 Order of pole (six term test) 0.999999999999992 TOP MAIN SOLVE Loop x[1] 0.26000000000000173 y[1] (analytic) 0.9366804046459339 y[1] (numeric) 0.9366804046459336 absolute error 3.3306690738754696e-16 relative error 3.555822303269455e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0332473082471596 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0332473082471585 Order of pole (six term test) 0.9999999999999876 TOP MAIN SOLVE Loop x[1] 0.27000000000000174 y[1] (analytic) 0.9320533134495286 y[1] (numeric) 0.9320533134495281 absolute error 4.440892098500626e-16 relative error 4.764633132481326e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0358088626768942 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0358088626768926 Order of pole (six term test) 0.9999999999999867 TOP MAIN SOLVE Loop x[1] 0.28000000000000175 y[1] (analytic) 0.9272997032640942 y[1] (numeric) 0.9272997032640937 absolute error 4.440892098500626e-16 relative error 4.789058039023079e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.038460398859774 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0384603988597778 Order of pole (six term test) 1.0000000000000364 TOP MAIN SOLVE Loop x[1] 0.29000000000000176 y[1] (analytic) 0.9224241306152561 y[1] (numeric) 0.9224241306152556 absolute error 4.440892098500626e-16 relative error 4.814371123984533e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.041201229350024 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0412012293500204 Order of pole (six term test) 0.999999999999968 TOP MAIN SOLVE Loop x[1] 0.30000000000000177 y[1] (analytic) 0.9174311926605496 y[1] (numeric) 0.9174311926605492 absolute error 4.440892098500626e-16 relative error 4.840572387365687e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0440306508910555 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0440306508910566 Order of pole (six term test) 1.0000000000000107 TOP MAIN SOLVE Loop x[1] 0.3100000000000018 y[1] (analytic) 0.9123255177447304 y[1] (numeric) 0.91232551774473 absolute error 3.3306690738754696e-16 relative error 3.650746371874906e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.046947945219819 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0469479452198158 Order of pole (six term test) 0.9999999999999689 TOP MAIN SOLVE Loop x[1] 0.3200000000000018 y[1] (analytic) 0.907111756168359 y[1] (numeric) 0.9071117561683586 absolute error 4.440892098500626e-16 relative error 4.895639449387095e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0499523798725354 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0499523798725425 Order of pole (six term test) 1.0000000000000666 TOP MAIN SOLVE Loop x[1] 0.3300000000000018 y[1] (analytic) 0.9017945711966805 y[1] (numeric) 0.90179457119668 absolute error 4.440892098500626e-16 relative error 4.9245052480273494e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.053043208990021 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0530432089900235 Order of pole (six term test) 1.0000000000000249 TOP MAIN SOLVE Loop x[1] 0.3400000000000018 y[1] (analytic) 0.8963786303334519 y[1] (numeric) 0.8963786303334514 absolute error 4.440892098500626e-16 relative error 4.954259225087304e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.056219674120872 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0562196741208725 Order of pole (six term test) 1.0000000000000036 TOP MAIN SOLVE Loop x[1] 0.3500000000000018 y[1] (analytic) 0.890868596881959 y[1] (numeric) 0.8908685968819585 absolute error 4.440892098500626e-16 relative error 4.984901380566958e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0594810050208552 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0594810050208556 Order of pole (six term test) 1.0000000000000044 TOP MAIN SOLVE Loop x[1] 0.3600000000000018 y[1] (analytic) 0.8852691218130302 y[1] (numeric) 0.8852691218130297 absolute error 4.440892098500626e-16 relative error 5.016431714466313e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0628264204469144 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0628264204469144 Order of pole (six term test) 1.0000000000000009 TOP MAIN SOLVE Loop x[1] 0.3700000000000018 y[1] (analytic) 0.8795848359574271 y[1] (numeric) 0.8795848359574266 absolute error 4.440892098500626e-16 relative error 5.0488502267853675e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0662551289442885 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0662551289442888 Order of pole (six term test) 1.0000000000000036 TOP MAIN SOLVE Loop x[1] 0.38000000000000184 y[1] (analytic) 0.8738203425375732 y[1] (numeric) 0.8738203425375728 absolute error 4.440892098500626e-16 relative error 5.082156917524123e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0697663296253073 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.069766329625307 Order of pole (six term test) 0.9999999999999982 TOP MAIN SOLVE Loop x[1] 0.39000000000000185 y[1] (analytic) 0.8679802100512097 y[1] (numeric) 0.8679802100512093 absolute error 4.440892098500626e-16 relative error 5.116351786682578e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.073359212938521 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0733592129385212 Order of pole (six term test) 1.0000000000000018 TOP MAIN SOLVE Loop x[1] 0.40000000000000185 y[1] (analytic) 0.8620689655172403 y[1] (numeric) 0.8620689655172398 absolute error 5.551115123125783e-16 relative error 6.439293542825916e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0770329614269014 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0770329614269019 Order of pole (six term test) 1.0000000000000009 TOP MAIN SOLVE Loop x[1] 0.41000000000000186 y[1] (analytic) 0.8560910880917719 y[1] (numeric) 0.8560910880917714 absolute error 5.551115123125783e-16 relative error 6.484257575323235e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0807867504739321 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0807867504739312 Order of pole (six term test) 0.999999999999992 TOP MAIN SOLVE Loop x[1] 0.42000000000000187 y[1] (analytic) 0.8500510030601824 y[1] (numeric) 0.850051003060182 absolute error 4.440892098500626e-16 relative error 5.2242654646761436e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0846197490365006 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0846197490365008 Order of pole (six term test) 1.0 TOP MAIN SOLVE Loop x[1] 0.4300000000000019 y[1] (analytic) 0.8439530762089617 y[1] (numeric) 0.8439530762089612 absolute error 4.440892098500626e-16 relative error 5.262013047513399e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.088531120363585 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0885311203635852 Order of pole (six term test) 1.0 TOP MAIN SOLVE Loop x[1] 0.4400000000000019 y[1] (analytic) 0.8378016085790873 y[1] (numeric) 0.8378016085790869 absolute error 3.3306690738754696e-16 relative error 3.975486606577766e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0925200226998137 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0925200226998129 Order of pole (six term test) 0.9999999999999929 TOP MAIN SOLVE Loop x[1] 0.4500000000000019 y[1] (analytic) 0.8316008316008304 y[1] (numeric) 0.8316008316008301 absolute error 3.3306690738754696e-16 relative error 4.005129561335258e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0965856099730662 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0965856099730662 Order of pole (six term test) 0.9999999999999982 TOP MAIN SOLVE Loop x[1] 0.4600000000000019 y[1] (analytic) 0.8253549026081203 y[1] (numeric) 0.82535490260812 absolute error 3.3306690738754696e-16 relative error 4.035438649907525e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.100727032465362 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1007270324653617 Order of pole (six term test) 1.0 TOP MAIN SOLVE Loop x[1] 0.4700000000000019 y[1] (analytic) 0.8190679007289692 y[1] (numeric) 0.8190679007289688 absolute error 3.3306690738754696e-16 relative error 4.066413872294567e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1049434374663718 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1049434374663707 Order of pole (six term test) 0.9999999999999902 TOP MAIN SOLVE Loop x[1] 0.4800000000000019 y[1] (analytic) 0.8127438231469428 y[1] (numeric) 0.8127438231469425 absolute error 3.3306690738754696e-16 relative error 4.098055228496384e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1092339699089646 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.109233969908965 Order of pole (six term test) 1.0000000000000018 TOP MAIN SOLVE Loop x[1] 0.49000000000000193 y[1] (analytic) 0.8063865817272787 y[1] (numeric) 0.8063865817272785 absolute error 2.220446049250313e-16 relative error 2.7535751456753178e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1135977729862798 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1135977729862792 Order of pole (six term test) 0.9999999999999947 TOP MAIN SOLVE Loop x[1] 0.5000000000000019 y[1] (analytic) 0.7999999999999988 y[1] (numeric) 0.7999999999999985 absolute error 3.3306690738754696e-16 relative error 4.1633363423443433e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1180339887498956 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.118033988749895 Order of pole (six term test) 0.9999999999999982 TOP MAIN SOLVE Loop x[1] 0.5100000000000019 y[1] (analytic) 0.7935878104912296 y[1] (numeric) 0.7935878104912293 absolute error 3.3306690738754696e-16 relative error 4.196976099990486e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1225417586887367 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.122541758688737 Order of pole (six term test) 1.0000000000000098 TOP MAIN SOLVE Loop x[1] 0.5200000000000019 y[1] (analytic) 0.7871536523929459 y[1] (numeric) 0.7871536523929455 absolute error 3.3306690738754696e-16 relative error 4.231281991451403e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1271202242884306 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1271202242884306 Order of pole (six term test) 1.0000000000000009 TOP MAIN SOLVE Loop x[1] 0.5300000000000019 y[1] (analytic) 0.780701069560464 y[1] (numeric) 0.7807010695604637 absolute error 3.3306690738754696e-16 relative error 4.266254016727096e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1317685275708995 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1317685275708997 Order of pole (six term test) 0.9999999999999991 TOP MAIN SOLVE Loop x[1] 0.5400000000000019 y[1] (analytic) 0.7742335088262607 y[1] (numeric) 0.7742335088262604 absolute error 3.3306690738754696e-16 relative error 4.301892175817564e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1364858116140306 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1364858116140288 Order of pole (six term test) 0.9999999999999867 TOP MAIN SOLVE Loop x[1] 0.5500000000000019 y[1] (analytic) 0.767754318618041 y[1] (numeric) 0.7677543186180407 absolute error 3.3306690738754696e-16 relative error 4.338196468722806e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1412712210513336 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1412712210513358 Order of pole (six term test) 1.0000000000000187 TOP MAIN SOLVE Loop x[1] 0.5600000000000019 y[1] (analytic) 0.7612667478684519 y[1] (numeric) 0.7612667478684515 absolute error 4.440892098500626e-16 relative error 5.833555860590432e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.146123902551553 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1461239025515542 Order of pole (six term test) 1.0000000000000089 TOP MAIN SOLVE Loop x[1] 0.570000000000002 y[1] (analytic) 0.7547739452034103 y[1] (numeric) 0.75477394520341 absolute error 3.3306690738754696e-16 relative error 4.412803455977617e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1510430052782572 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1510430052782499 Order of pole (six term test) 0.9999999999999405 TOP MAIN SOLVE Loop x[1] 0.580000000000002 y[1] (analytic) 0.7482789583956887 y[1] (numeric) 0.7482789583956884 absolute error 3.3306690738754696e-16 relative error 4.451106150327185e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.156027681329475 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.15602768132943 Order of pole (six term test) 0.9999999999996501 TOP MAIN SOLVE Loop x[1] 0.590000000000002 y[1] (analytic) 0.7417847340701715 y[1] (numeric) 0.7417847340701713 absolute error 2.220446049250313e-16 relative error 2.993383318994352e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.161077086157505 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1610770861575046 Order of pole (six term test) 0.9999999999999964 TOP MAIN SOLVE Loop x[1] 0.600000000000002 y[1] (analytic) 0.7352941176470575 y[1] (numeric) 0.7352941176470573 absolute error 2.220446049250313e-16 relative error 3.019806626980431e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.166190378969061 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1661903789690586 Order of pole (six term test) 0.9999999999999796 TOP MAIN SOLVE Loop x[1] 0.610000000000002 y[1] (analytic) 0.7288098535092182 y[1] (numeric) 0.7288098535092179 absolute error 3.3306690738754696e-16 relative error 4.5700110362645394e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1713667231059632 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.171366723105956 Order of pole (six term test) 0.9999999999999414 TOP MAIN SOLVE Loop x[1] 0.620000000000002 y[1] (analytic) 0.7223345853799467 y[1] (numeric) 0.7223345853799464 absolute error 2.220446049250313e-16 relative error 3.073985510582139e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1766052864066192 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.176605286406613 Order of pole (six term test) 0.9999999999999512 TOP MAIN SOLVE Loop x[1] 0.630000000000002 y[1] (analytic) 0.7158708568974145 y[1] (numeric) 0.7158708568974141 absolute error 3.3306690738754696e-16 relative error 4.6526116292966516e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.181905241548578 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1819052415485758 Order of pole (six term test) 0.9999999999999822 TOP MAIN SOLVE Loop x[1] 0.640000000000002 y[1] (analytic) 0.7094211123723029 y[1] (numeric) 0.7094211123723027 absolute error 2.220446049250313e-16 relative error 3.129940751023247e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1872657663724675 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1872657663724575 Order of pole (six term test) 0.9999999999999183 TOP MAIN SOLVE Loop x[1] 0.650000000000002 y[1] (analytic) 0.7029876977152887 y[1] (numeric) 0.7029876977152885 absolute error 2.220446049250313e-16 relative error 3.158584505058576e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1926860441876574 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1926860441876561 Order of pole (six term test) 0.9999999999999911 TOP MAIN SOLVE Loop x[1] 0.660000000000002 y[1] (analytic) 0.6965728615213138 y[1] (numeric) 0.6965728615213136 absolute error 2.220446049250313e-16 relative error 3.187672348303755e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1981652640600138 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1981652640600158 Order of pole (six term test) 1.000000000000015 TOP MAIN SOLVE Loop x[1] 0.670000000000002 y[1] (analytic) 0.6901787562978798 y[1] (numeric) 0.6901787562978796 absolute error 2.220446049250313e-16 relative error 3.2172042807587846e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2037026210821353 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2037026210821369 Order of pole (six term test) 1.0000000000000133 TOP MAIN SOLVE Loop x[1] 0.680000000000002 y[1] (analytic) 0.683807439824944 y[1] (numeric) 0.6838074398249437 absolute error 2.220446049250313e-16 relative error 3.2471803024236644e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.209297316626479 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.209297316626481 Order of pole (six term test) 1.0000000000000178 TOP MAIN SOLVE Loop x[1] 0.6900000000000021 y[1] (analytic) 0.677460876634373 y[1] (numeric) 0.6774608766343728 absolute error 2.220446049250313e-16 relative error 3.277600413298394e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2149485585818038 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.214948558581801 Order of pole (six term test) 0.9999999999999787 TOP MAIN SOLVE Loop x[1] 0.7000000000000021 y[1] (analytic) 0.6711409395973141 y[1] (numeric) 0.6711409395973139 absolute error 2.220446049250313e-16 relative error 3.308464613382973e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2206555615733714 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2206555615733643 Order of pole (six term test) 0.9999999999999449 TOP MAIN SOLVE Loop x[1] 0.7100000000000021 y[1] (analytic) 0.6648494116082695 y[1] (numeric) 0.6648494116082692 absolute error 3.3306690738754696e-16 relative error 5.009659354016103e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2264175471673597 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2264175471673626 Order of pole (six term test) 1.0000000000000258 TOP MAIN SOLVE Loop x[1] 0.7200000000000021 y[1] (analytic) 0.6585879873551094 y[1] (numeric) 0.658587987355109 absolute error 3.3306690738754696e-16 relative error 5.057287921772523e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2322337440599502 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2322337440599702 Order of pole (six term test) 1.0000000000001608 TOP MAIN SOLVE Loop x[1] 0.7300000000000021 y[1] (analytic) 0.6523582751647192 y[1] (numeric) 0.6523582751647189 absolute error 3.3306690738754696e-16 relative error 5.105582623343717e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.238103388251564 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.238103388251571 Order of pole (six term test) 1.0000000000000577 TOP MAIN SOLVE Loop x[1] 0.7400000000000021 y[1] (analytic) 0.6461617989144468 y[1] (numeric) 0.6461617989144466 absolute error 2.220446049250313e-16 relative error 3.436362305819792e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2440257232067202 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.244025723206728 Order of pole (six term test) 1.0000000000000613 TOP MAIN SOLVE Loop x[1] 0.7500000000000021 y[1] (analytic) 0.6399999999999987 y[1] (numeric) 0.6399999999999985 absolute error 2.220446049250313e-16 relative error 3.469446951953621e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2500000000000013 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2499999999999956 Order of pole (six term test) 0.9999999999999538 TOP MAIN SOLVE Loop x[1] 0.7600000000000021 y[1] (analytic) 0.6338742393509115 y[1] (numeric) 0.6338742393509113 absolute error 2.220446049250313e-16 relative error 3.502975687297301e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2560254774486077 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2560254774486117 Order of pole (six term test) 1.000000000000031 TOP MAIN SOLVE Loop x[1] 0.7700000000000021 y[1] (analytic) 0.6277857994852143 y[1] (numeric) 0.6277857994852141 absolute error 2.220446049250313e-16 relative error 3.536948511850831e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2621014222319866 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2621014222319924 Order of pole (six term test) 1.000000000000047 TOP MAIN SOLVE Loop x[1] 0.7800000000000021 y[1] (analytic) 0.6217358865953729 y[1] (numeric) 0.6217358865953727 absolute error 2.220446049250313e-16 relative error 3.571365425614211e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2682271089990165 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2682271089990151 Order of pole (six term test) 0.9999999999999902 TOP MAIN SOLVE Loop x[1] 0.7900000000000021 y[1] (analytic) 0.6157256326580862 y[1] (numeric) 0.615725632658086 absolute error 2.220446049250313e-16 relative error 3.6062264285874416e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2744018204632335 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2744018204632355 Order of pole (six term test) 1.0000000000000169 TOP MAIN SOLVE Loop x[1] 0.8000000000000022 y[1] (analytic) 0.6097560975609744 y[1] (numeric) 0.609756097560974 absolute error 3.3306690738754696e-16 relative error 5.4622972811557815e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2806248474865711 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2806248474865671 Order of pole (six term test) 0.9999999999999662 TOP MAIN SOLVE Loop x[1] 0.8100000000000022 y[1] (analytic) 0.6038282712396582 y[1] (numeric) 0.6038282712396579 absolute error 3.3306690738754696e-16 relative error 5.5159210532451764e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2868954891520925 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2868954891520965 Order of pole (six term test) 1.0000000000000329 TOP MAIN SOLVE Loop x[1] 0.8200000000000022 y[1] (analytic) 0.5979430758191807 y[1] (numeric) 0.5979430758191805 absolute error 2.220446049250313e-16 relative error 3.7134739727662314e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2932130528261783 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2932130528261823 Order of pole (six term test) 1.0000000000000338 TOP MAIN SOLVE Loop x[1] 0.8300000000000022 y[1] (analytic) 0.5921013677541582 y[1] (numeric) 0.592101367754158 absolute error 2.220446049250313e-16 relative error 3.7501113325788617e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2995768542106325 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.299576854210633 Order of pole (six term test) 1.0000000000000053 TOP MAIN SOLVE Loop x[1] 0.8400000000000022 y[1] (analytic) 0.5863039399624753 y[1] (numeric) 0.5863039399624751 absolute error 2.220446049250313e-16 relative error 3.787192781601342e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.305986217385162 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3059862173851609 Order of pole (six term test) 0.9999999999999893 TOP MAIN SOLVE Loop x[1] 0.8500000000000022 y[1] (analytic) 0.5805515239477491 y[1] (numeric) 0.5805515239477489 absolute error 2.220446049250313e-16 relative error 3.8247183198336725e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3124404748406702 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3124404748406695 Order of pole (six term test) 0.9999999999999947 TOP MAIN SOLVE Loop x[1] 0.8600000000000022 y[1] (analytic) 0.5748447919061841 y[1] (numeric) 0.5748447919061839 absolute error 2.220446049250313e-16 relative error 3.862687947275853e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3189389675038052 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3189389675038052 Order of pole (six term test) 1.0000000000000018 TOP MAIN SOLVE Loop x[1] 0.8700000000000022 y[1] (analytic) 0.5691843588138186 y[1] (numeric) 0.5691843588138183 absolute error 2.220446049250313e-16 relative error 3.901101663927883e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3254810447531884 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3254810447531895 Order of pole (six term test) 1.0000000000000124 TOP MAIN SOLVE Loop x[1] 0.8800000000000022 y[1] (analytic) 0.5635707844905308 y[1] (numeric) 0.5635707844905306 absolute error 2.220446049250313e-16 relative error 3.939959469789764e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3320660644277384 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3320660644277387 Order of pole (six term test) 1.000000000000007 TOP MAIN SOLVE Loop x[1] 0.8900000000000022 y[1] (analytic) 0.5580045756375189 y[1] (numeric) 0.5580045756375188 absolute error 1.1102230246251565e-16 relative error 1.9896306824307475e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3386933928275002 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3386933928275015 Order of pole (six term test) 1.0000000000000142 TOP MAIN SOLVE Loop x[1] 0.9000000000000022 y[1] (analytic) 0.5524861878453027 y[1] (numeric) 0.5524861878453025 absolute error 2.220446049250313e-16 relative error 4.0190073491430755e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3453624047073725 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.345362404707372 Order of pole (six term test) 0.9999999999999973 TOP MAIN SOLVE Loop x[1] 0.9100000000000023 y[1] (analytic) 0.5470160275696065 y[1] (numeric) 0.5470160275696064 absolute error 1.1102230246251565e-16 relative error 2.0295987113172534e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.35207248326412 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3520724832641204 Order of pole (six term test) 1.0000000000000062 TOP MAIN SOLVE Loop x[1] 0.9200000000000023 y[1] (analytic) 0.541594454072789 y[1] (numeric) 0.5415944540727889 absolute error 1.1102230246251565e-16 relative error 2.0499157926678936e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3588230201170437 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3588230201170433 Order of pole (six term test) 1.0000000000000018 TOP MAIN SOLVE Loop x[1] 0.9300000000000023 y[1] (analytic) 0.5362217813287563 y[1] (numeric) 0.5362217813287562 absolute error 1.1102230246251565e-16 relative error 2.0704549186234593e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3656134152826722 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.365613415282672 Order of pole (six term test) 1.0000000000000009 TOP MAIN SOLVE Loop x[1] 0.9400000000000023 y[1] (analytic) 0.530898279889572 y[1] (numeric) 0.5308982798895718 absolute error 1.1102230246251565e-16 relative error 2.0912160891839497e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3724430771438225 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3724430771438227 Order of pole (six term test) 1.0000000000000036 TOP MAIN SOLVE Loop x[1] 0.9500000000000023 y[1] (analytic) 0.5256241787122196 y[1] (numeric) 0.5256241787122194 absolute error 1.1102230246251565e-16 relative error 2.112199304349365e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3793114224133738 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3793114224133731 Order of pole (six term test) 0.9999999999999982 TOP MAIN SOLVE Loop x[1] 0.9600000000000023 y[1] (analytic) 0.5203996669442119 y[1] (numeric) 0.5203996669442118 absolute error 1.1102230246251565e-16 relative error 2.1334045641197058e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3862178760930781 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.386217876093075 Order of pole (six term test) 0.999999999999984 TOP MAIN SOLVE Loop x[1] 0.9700000000000023 y[1] (analytic) 0.5152248956669574 y[1] (numeric) 0.5152248956669573 absolute error 1.1102230246251565e-16 relative error 2.1548318684949714e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3931618714277263 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3931618714277292 Order of pole (six term test) 1.0000000000000133 TOP MAIN SOLVE Loop x[1] 0.9800000000000023 y[1] (analytic) 0.5100999795959996 y[1] (numeric) 0.5100999795959995 absolute error 1.1102230246251565e-16 relative error 2.1764812174751618e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4001428498549726 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4001428498549708 Order of pole (six term test) 0.9999999999999893 TOP MAIN SOLVE Loop x[1] 0.9900000000000023 y[1] (analytic) 0.5050249987374363 y[1] (numeric) 0.5050249987374362 absolute error 1.1102230246251565e-16 relative error 2.1983526110602774e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4071602609511131 Order of pole (given) 1.0 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4071602609511147 Order of pole (six term test) 1.000000000000008 Finished! diff ( y , x , 1 ) = m1 * 2.0 * x / ( x * x + 1.0 ) / ( x * x + 1.0 ) ; Iterations 300 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 9 Minutes 59.0 Seconds Percent Done 100.33333333333341%